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An optimal channel-routing algorithm in the times square model

机译:时代广场模型中的最优路由算法

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Channel routing is an important, time-consuming, and difficult problem in VLSI layout design, In this paper, we consider the two-terminal channel routing problem in the new routing model, called times square model (TSM); see, Lodj, Info. Proc. Lett., vol. 35, p. 41, 1990.; where the grid is composed of horizontal tracks, right tracks (with slope +60/spl deg/) and left tracks (with slope -60/spl deg/). We show a new lower bound [2d/3]-1 to the width of channel and present an optimal algorithm for two-terminal channel routing problems, which obtains [2d/3]+2 as an upper bound to the channel width where d is the channel density. The algorithm not only utilizes the horizontal tracks, but also the zig-zag connections, thus achieving the routing optimality.
机译:在VLSI布局设计中,通道路由是一个重要,耗时且困难的问题。在本文中,我们考虑了在称为时间平方模型(TSM)的新路由模型中的两端通道路由问题。参见Lodj,信息。程序Lett。,第一卷35页。 1990年第41页;其中网格由水平轨道,右轨道(坡度为+ 60 / spl deg /)和左轨道(坡度为-60 / spl deg /)组成。我们展示了一个新的信道宽度的下界[2d / 3] -1,并提出了一种用于解决两端信道路由问题的最佳算法,该算法获得了[2d / 3] +2作为信道宽度的上限,其中是通道密度。该算法不仅利用水平轨迹,而且利用之字形连接,从而实现了路由最优性。

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